Modified Hawking temperatures of black holes in Lorentz violation theory

TL;DR

This paper investigates how Lorentz violation theory alters Hawking temperatures and entropy of various black holes by analyzing scalar particle tunneling using a modified Hamilton-Jacobi approach.

Contribution

It introduces a modified Hamilton-Jacobi equation derived from Lorentz violation theory to study quantum tunneling and thermodynamics of black holes in curved spacetime.

Findings

Hawking temperatures of Riemann and BTZ black holes are modified by Lorentz violation.

Bekenstein-Hawking entropy near Schwarzschild-de Sitter black hole horizon is affected.

Modifications depend on ether-like vectors $u^\alpha$.

Abstract

In this paper, the tunneling of scalar particles near the event horizons of Riemann space time, BTZ black hole and Schwarzschild-de Sitter black hole are investigated by applying Hamilton-Jacobi equation with Lorentz violation theory in curved space time. The modified Hamilton-Jacobi equation is derived from Klein-Gordon equation of scalar particles induced by Lorentz violation theory in curved space time. The Hawking temperatures of Riemann space time and the BTZ black hole are modified due to the effect of Lorentz violation theory. Moreover, the Bekenstein-Hawking entropy near the event horizon of Schwarzschild-de Sitter black hole is also modified due to Lorentz violation theory. It is observed that the modified values of Hawking temperatures and change in Bekenstein-Hawking entropy depend upon the ether-like vectors $u^\alpha$.